Slow dynamics in translation-invariant quantum lattice models

Alexios A. Michailidis, Marko Žnidarič, Mariya Medvedyeva, Dmitry A. Abanin, Tomaž Prosen, Z. Papić

Research output: Contribution to journalArticlepeer-review

35 Scopus citations


Many-body quantum systems typically display fast dynamics and ballistic spreading of information. Here we address the open problem of how slow the dynamics can be after a generic breaking of integrability by local interactions. We develop a method based on degenerate perturbation theory that reveals slow dynamical regimes and delocalization processes in general translation invariant models, along with accurate estimates of their delocalization time scales. Our results shed light on the fundamental questions of the robustness of quantum integrable systems and the possibility of many-body localization without disorder. As an example, we construct a large class of one-dimensional lattice models where, despite the absence of asymptotic localization, the transient dynamics is exceptionally slow, i.e., the dynamics is indistinguishable from that of many-body localized systems for the system sizes and time scales accessible in experiments and numerical simulations.

Original languageEnglish (US)
Article number104307
JournalPhysical Review B
Issue number10
StatePublished - Mar 19 2018
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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